Prime p₀= 2125756640298425549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 28 2 124 2 28 2 40 2 (?)
a_n: 0 2 18 20 42 44 72 74 198 200 228 230 270 272
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 272
Found by: Donn Pike (USAF Ret)
db: batch=80, k=14, 16 22 28 124 28 40

SPT(16)	2125756085382491867	0 12 32 54 60 92 114 134 162 182 204 236 242 264 284 296	-554915933682
STPT(10)	2125756286501096141	0 2 6 8 48 50 90 92 96 98	-353797329408
SPT(16)	2125756305120499511	0 32 42 66 78 116 162 270 308 416 462 500 512 536 546 578	-335177926038
STPT(10)	2125756349054708339	0 2 12 14 30 32 48 50 60 62	-291243717210
SPT(16)	2125756349727228131	0 18 42 62 72 92 96 182 216 302 306 326 336 356 380 398	-290571197418
SPT(16)	2125756593386204299	0 28 34 48 72 100 118 160 162 204 222 250 274 288 294 322	-46912221250
STPT(10)	2125756712735167607	0 2 30 32 42 44 54 56 84 86	72436742058
STPT(10)	2125756909737356219	0 2 18 20 30 32 42 44 60 62	269438930670
SPT(16)	2125757085738282509	0 90 104 128 182 204 234 258 284 308 338 360 414 438 452 542	445439856960
STPT(10)	2125757190066087671	0 2 30 32 60 62 90 92 120 122	549767662122
STPT(10)	2125757193340687679	0 2 12 14 90 92 168 170 180 182	553042262130